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Sagot :

The equation of line passing through points (7, 3) and (5, 3) is equal to y = 3.

If we need to find the equation between two points (x₁, y₁) and (x₂, y₂), we use the formula

(y - y₁) = m(x - x₁); where m is the slope which is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

Now, the points are (7, 3) and (5, 3)

m = (3 - 3)/(5 - 7)

m = 0

Equation will be: (y - 3) = 0(x - 7)

=> y = 3

Now, the points are (5, 2) and (10, 3)

m = (3 - 2)/(10 - 5)

m = 1/5

Equation will be: (y - 2) = 1/5(x - 5)

=> 5y = 5x - 15

Now, the points are (5, 5) and (5, 7)

m = (7 - 5)/(5 - 5)

m = undefined

Equation will be: (y - 5) = 1/0(x - 5)

=> x = 5

Now, the points are (4, 5) and (7, 6)

m = (6 - 5)/(7 - 4)

m = 1/3

Equation will be: (y - 5) = 1/3(x - 4)

=> 3y = 3x + 3

Now, the points are (2, 5) and (7, 5)

m = (5 - 5)/(7 - 2)

m = 0

Equation will be: (y - 5) = 0(x - 2)

=> y = 5

Now, the points are (7, 2) and (9, 1)

m = (1 - 2)/(9 - 7)

m = -1/2

Equation will be: (y - 2) = -1/2(x - 7)

=> 2y = -x + 9

Now, the points are (2, 5) and (4, 3)

m = (3 - 5)/(4 - 2)

m = -1

Equation will be: (y - 5) = -1(x - 2)

=> y = -x + 7

Now, the points are (4, 7) and (2, 6)

m = (6 - 7)/(2 - 4)

m = 1/2

Equation will be: (y - 7) = 1/2(x - 4)

=> 2y = x + 10

Learn more about Slope at:

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